MathWorks’ Post

Breaking down periodic waves one sine and cosine at a time 🌊✨ Explore Fourier Series with Professor Strang ⤵️ What’s your favorite application of Fourier Series? Drop your thoughts or questions in the comments! 👇 #FourierSeries #StrangImpact

Mohammadhadi Sadraei

Researcher in 5G and 6G Wireless Communications

1w

In electric circuit theory, instead of solving complex differential equations we can break periodic signal into sines and cosines which their outputs are easy to calculate. I also liked how professor Strang described the way coefficients an, bn are extracted. Some professors just describe definitions and students only have to accept the definition!

Erion O.

Staff Software Engineer, MBA, MSCS, Web Applications, Mobile, Leadership

1w

Watch this every night to fall asleep like a baby

Wow, what a fantastic session by Professor Gilbert Strang! It took me right back to my engineering mathematics days, refreshing my understanding of Fourier Series and Fourier Transformations. I especially loved how effortlessly he explained the Fourier Series with the example of the delta function. His use of orthogonality to derive the coefficients was so simple and elegant—it made the whole concept feel so accessible. What I truly love about Fourier Series is how they bring order to complexity. They take something as chaotic as a signal and break it down into beautiful, neat sine and cosine waves. It’s like discovering the hidden music in math! One of my favorite applications of Fourier Series is in signal processing—cleaning up noise or compressing data feels like pure magic. It’s amazing how this mathematical tool can transform real-world challenges into something so structured and solvable.

Harish Kodarapu

Controls Development Engineer|| TH Deggendorf || NIT Warangal

6d

That's a nice explanation. Fourier Series in fact has significant applications in power electronics, particularly in the analysis of inverters & converters. It helps decompose almost all periodic signals, enabling engineers to manage and reduce harmonics, optimize power quality, and improve system efficiency. Its a vital tool for designing power electronics' circuitry

Kenan Akinci

Hardware Design Engineer, Power Electronics at EA Elektro-Automatik

1w

Any engineering student should watch Prof. Strang‘s Linear Algebra course through MIT OpenCourseWare. They are invaluable!

Arian Farahani

Student at Amirkabir University of Technology | Team member at Advanced Robotics and Automated Systems (ARAS) Laboratory

1w

In mechanical vibrations, you can find the response of a linear system to a complex input by decomposing the input to sine and cosines using Fourier series and sum up all the responses in the end.

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Joshua Swifte

Systems Engineer at KBR

1w

In optics the fourier plane can be observed where an image plane converges from a spatial image into the frequency plane - seeing that was enlightening getting to see the actual application of the math in a concrete observable form.

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Salil Joseph

Analog IC Validation Engineer

1w

Seen linear algebra by Proff Strang , what a treat to follow his lectures

José Vladimir España Figueroa

Chemical and Process Engineer / Polymathic

1w

Do you have any link to see all this Master Classes? This is #Inevitable. My Greetings from the Amvitable®

Best math teacher ever!

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